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Finding the Fourth Proportional to 31,715.73, 47,565.09 and 9,524.16

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Solution

The fourth proportional to 31,715.73, 47,565.09 and 9,524.16 is: 14,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.73 : 47,565.09 = 9,524.16 : x
  2. Step 2: Convert to fraction form
    31,715.73/47,565.09 = 9,524.16/x
  3. Step 3: Cross multiply
    31,715.73x = 47,565.09 × 9,524.16
  4. Step 4: Simplify right side
    31,715.73x = 453,017,527.57
  5. Step 5: Solve for x
    x = 453,017,527.57/31,715.73
  6. Step 6: Final answer
    x = 14,283.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.